Hilbert functions of filtered modules [electronic resource]
- 作者： Rossi, Maria Evelina.
- 其他作者：
- 出版： Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg
- 叢書名： Lecture Notes of the Unione Matematica Italiana,9
- 主題： Characteristic functions. , Mathematics , Algebra , Commutative Rings and Algebras. , Algebraic Geometry.
- ISBN： 9783642142406 (electronic bk.) 、 9783642142390 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
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讀者標籤：
- 系統號： 005064279 | 機讀編目格式
館藏資訊
Hilbert Functions play major roles in Algebraic Geometry and Commutative Algebra, and are becoming increasingly important also in Computational Algebra. They capture many useful numerical characters associated to a projective variety or to a filtered module over a local ring. Starting from the pioneering work of D.G. Northcott and J. Sally, we aim to gather together in one place many new developments of this theory by using a unifying approach which gives self-contained and easier proofs. The extension of the theory to the case of general filtrations on a module, and its application to the study of certain graded algebras which are not associated to a filtration are two of the main features of the monograph. The material is intended for graduate students and researchers who are interested in Commutative Algebra, in particular in the theory of the Hilbert Functions and related topics.